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by Dunham Jackson
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ISBN: 0486438082 Dover Publications Price: $14.95 |
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This text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition and explanation of the elements of Fourier series, and examines Legendre polynomials and Bessel functions. Also includes Pearson frequency functions and chapters on orthogonal, Jacobi, Hermite, and Laguerre polynomials, more. 1941 edition.
Unabridged republication of the edition published by The Mathematical Association of America, Oberlin, Ohio, 1941.
Table of Contents for Fourier Series and Orthogonal Polynomials
| I. Fourier Series | |||||||
| II. Legendre Polynomials | |||||||
| III. Bessel Functions | |||||||
| IV. Boundary Value Problems | |||||||
| V. Double Series; Laplace Series | |||||||
| VI. The Pearson Frequency Functions | |||||||
| VII. Orthogonal Polynomials | |||||||
| VIII. Jacobi Polynomials | |||||||
| IX. Hermite Polynomials | |||||||
| X. Laguerre Polynomials | |||||||
| XI. Convergence | |||||||
| Exercises | |||||||
| Bibliography | |||||||
| Index |